Title :
On additivity of the weighted possibilistic mean operator
Author :
Coroianu, Lucian ; Fuller, Robert
Author_Institution :
Dept. of Math. & Inf., Univ. of Oradea, Oradea, Romania
Abstract :
In this paper we study the problem of additivity property of the weighted possibilistic mean operator for interactive fuzzy numbers. We will show that the weighted possibilistic mean operator is additive on the set of symmetric fuzzy numbers if their joint possibility distribution is defined by a t-norm. We will also show some results for general joint-possibility-distribution-based additions of fuzzy numbers of symmetrical opposite sides.
Keywords :
fuzzy set theory; mathematical operators; possibility theory; statistical distributions; additivity property; general joint-possibility-distribution-based additions; interactive fuzzy numbers; symmetric fuzzy number set; symmetrical opposite sided fuzzy numbers; t-norm; weighted possibilistic mean operator; Cognition; Computational intelligence; Educational institutions; Equations; Informatics; Joints;
Conference_Titel :
Computational Intelligence and Informatics (CINTI), 2013 IEEE 14th International Symposium on
Conference_Location :
Budapest
Print_ISBN :
978-1-4799-0194-4
DOI :
10.1109/CINTI.2013.6705211
